Journal of the
Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2018; 55(5): 1045-1061

Online first article August 6, 2018      Printed September 1, 2018

https://doi.org/10.4134/JKMS.j170344

Copyright © The Korean Mathematical Society.

Nuclearity properties and $C^*$-envelopes of operator system inductive limits

Ajay Kumar, Preeti Luthra

University of Delhi, University of Delhi

Abstract

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We investigate the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.

Keywords: operator systems, $C^*$-envelopes, tensor products, nuclearity, inductive limit

MSC numbers: Primary 46L06, 46L07; Secondary 46L05, 47L25

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